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212430131340 = 22357887570221
BaseRepresentation
bin1100010111010111010…
…0101001000010001100
3202022022121202210010020
43011311310221002030
511440024103200330
6241331122542140
721230134215660
oct3056564510214
9668277683106
10212430131340
11821002a8919
1235206507950
1317055614c8b
14a3d2ca88a0
1557d485b210
hex3175d2908c

212430131340 has 96 divisors (see below), whose sum is σ = 680543990784. Its totient is φ = 48500632320.

The previous prime is 212430131323. The next prime is 212430131357. The reversal of 212430131340 is 43131034212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212430131323) and next prime (212430131357).

It is a super-2 number, since 2×2124301313402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212430131340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87430 + ... + 657650.

It is an arithmetic number, because the mean of its divisors is an integer number (7088999904).

Almost surely, 2212430131340 is an apocalyptic number.

212430131340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212430131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340271995392).

212430131340 is an abundant number, since it is smaller than the sum of its proper divisors (468113859444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212430131340 is a wasteful number, since it uses less digits than its factorization.

212430131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571127 (or 571125 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212430131340 its reverse (43131034212), we get a palindrome (255561165552).

The spelling of 212430131340 in words is "two hundred twelve billion, four hundred thirty million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 887 1774 2661 3548 4435 5322 6209 8870 10644 12418 13305 17740 18627 24836 26610 31045 37254 53220 62090 74508 93135 124180 186270 372540 570221 1140442 1710663 2280884 2851105 3421326 3991547 5702210 6842652 7983094 8553315 11404420 11974641 15966188 17106630 19957735 23949282 34213260 39915470 47898564 59873205 79830940 119746410 239492820 505786027 1011572054 1517358081 2023144108 2528930135 3034716162 3540502189 5057860270 6069432324 7081004378 7586790405 10115720540 10621506567 14162008756 15173580810 17702510945 21243013134 30347161620 35405021890 42486026268 53107532835 70810043780 106215065670 212430131340